Evaluate the Integral $\int _ { 0 } ^ { 1 } x ^ { 2 } \ln ( x + 9 ) d x$

question 79

Multiple Choice

Evaluate the integral. $\int _ { 0 } ^ { 1 } x ^ { 2 } \ln ( x + 9 ) d x$

• A) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 623 } { 18 }\)
• B) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 623 } { 9 }\)
• C) \(\frac { 730 \ln 10 + 729 \ln 9 } { 3 } - \frac { 461 } { 9 }\)
• D) \(\frac { 730 \ln 10 + 729 \ln 9 } { 3 } + \frac { 623 } { 9 }\)
• E) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 461 } { 18 }\)

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Definitions:

Nonlinear Factor Exposures

Nonlinear Factor Exposures refer to investment sensitivities to market factors that do not change in a straight-line (linear) relationship with the market's movements.

Down-Market Betas

Measures of how securities or portfolios perform relative to a benchmark during market downturns, reflecting their sensitivity to negative market movements.

Up-Market Betas

Measures of an asset's sensitivity to market movements, particularly during periods of rising market prices.

Geometric Average Return

The average rate of return on an investment per year, compounded annually, over a specified time period.